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Stability of peakons for the Novikov equation |
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| Authors: | Xiaochuan Liu Yue Liu Changzheng Qu |
| Affiliation: | 1. Department of Mathematics, Northwest University, Xi?an 710069, PR China;2. Department of Mathematics, University of Texas, Arlington, TX 76019-0408, USA;3. Department of Mathematics, Ningbo University, Ningbo 315211, PR China |
| Abstract: | In this paper we study the orbital stability of the peaked solitons to the Novikov equation, which is an integrable Camassa–Holm type equation with cubic nonlinearity. We show that the shapes of these peaked solitons are stable under small perturbations in the energy space. |
| Keywords: | Camassa&ndash Holm equation Novikov equation Peakons Orbital stability |
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